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Theoretical Studies of Photoionization

The photionization cross-section is shown to be directly related to the imaginary part of the frequency dependent polarizability. Using this relation, an approximate representation of the frequency-dependent polarizability is constructed from a discrete set of transition frequencies and oscillator strengths, which in turn is used in an analytical continuation procedure for complex values of the frequency. The great advantage of the method resides on the fact that the use of a discrete representation for the dynamic polarizability explicitly avoids the use of continuum functions. The method is applied to the calculation of the photoionization cross-section for the 2^1S and 2^3S metastable states of the He atom and for the H^- atom. Further improvements of the technique are suggested.

The photionization cross-section is shown to be directly related to the imaginary part of the frequency dependent polarizability.